Injective minimal modules

DOI10.1007/BF00739997zbMath0843.16005WikidataQ114234126 ScholiaQ114234126MaRDI QIDQ1842384

V. A. Puninskaya

Publication date: 17 May 1995

Published in: Algebra and Logic (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/187683

zbMATH Keywords

injective modulescomplete theorydivisible modulesleft Ore domains\(RD\)-injective faithful minimal modulesfaithful minimal modulesfirst order definable \(C\)-endomorphismsinjective minimal modulesright Noetherian Ore domainsstrongly minimal modules

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Injective modules, self-injective associative rings (16D50) Classification theory, stability, and related concepts in model theory (03C45) Ore rings, multiplicative sets, Ore localization (16U20) Applications of logic in associative algebras (16B70)

Cites Work

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• Injective modules over Noetherian rings
• Relative injectivity and pure-injective modules over Prüfer rings
• Elimination of quantifiers for modules
• Positive deissler rank and the complexity of injective modules
• Weakly minimal groups of unbounded exponent

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